标题： 经典引力旋-非旋散射在$\mathcal{O}(G^{2} S^{\infty})$ 显示英文标题

标题： Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^{2} S^{\infty})$

摘要： 利用最近推导出的全自旋、相反螺旋度的康普顿振幅，我们在$\mathcal{O}(G^{2})$阶及所有自旋阶次下计算了一个旋转物体和一个无自旋物体的经典引力散射振幅。 根据构造，该振幅表现出已被推测用于描述克尔黑洞的自旋结构。 仅此自旋结构不足以通过接触项固定康普顿振幅的所有变形，但结合极端相对论极限的考虑，我们可以唯一地确定自旋偶数部分中剩余参数的值。 一旦确定这些参数，振幅中的大部分自旋依赖性就会重新整理为超几何函数。 最后，我们推导了对齐自旋散射的射线相位。 显示英文摘要

摘要： Making use of the recently-derived, all-spin, opposite-helicity Compton amplitude, we calculate the classical gravitational scattering amplitude for one spinning and one spinless object at $\mathcal{O}(G^{2})$ and all orders in spin. By construction, this amplitude exhibits the spin structure that has been conjectured to describe Kerr black holes. This spin structure alone is not enough to fix all deformations of the Compton amplitude by contact terms, but when combined with considerations of the ultrarelativistic limit we can uniquely assign values to the parameters remaining in the even-in-spin sector. Once these parameters are determined, much of the spin dependence of the amplitude resums into hypergeometric functions. Finally, we derive the eikonal phase for aligned-spin scattering.